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mart [117]
4 years ago
9

A recipe that makes 16 cookies calls for 1/4cup of sugar and 2/3cup of flour. Janelle wants toproportionally increase these amou

nts to get a new recipe using one cup of sugar.
a. Using the new recipe, how much flour should she use?
b. How many cookies can she make with the new recipe?
Mathematics
1 answer:
Usimov [2.4K]4 years ago
3 0
16 cookies : 1/4 cup of sugar : 2/3 cup of flour
   (x4)                 (x4)                      (x4)
64 cookies   :  1 cup of sugar  :  2 2/3 cup of flour

(a) She will need 2 2/3 cup of flour.
(b) She can make 64 cookies.
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2 Points
Leviafan [203]

Answer:

C

Step-by-step explanation:

A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.

7 0
3 years ago
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PLEASE HELP ME IM BEGGING YOU IT IS EASY Consider the two groups listed below. Which statement describes the sets? (2 points) ho
miskamm [114]
Note that mailing address is unique, but houses are not, meaning that you can't have house A and house B both referencing the same address.

So, in order to have a valid function, any two points on the function cannot have the same x value that lands on different y.

With this property mentioned, it's clear to see that
(house, address) is NOT a function; however, (address, house) is a function, since same x lands on multiple y values is a valid onto function. (a house that have multiple addresses)
5 0
3 years ago
1. y = log x
Nuetrik [128]

Answer:

Domain {x : x  > 1}

Range {y : y ∈ R}

Vertical asymptote x = 0

x-intercept (1, 0)

End behavior consistent

Graph attached down

Step-by-step explanation:

Let us study the equation:

∵ y = log(x)

→ It is a logarithmic function, so no negative values for x

∴ Its domain is {x : x  > 1}

∴ Its range is {y : y ∈ R}, where R is the set of the real numbers

→ An asymptote is a line that a curve approaches, but never touches

∵ x can not be zero

∴ It has a vertical asymptote whose equation is x = 0

→ x-intercept means values of x at y = 0, y-intercept means

   values of y at x = 0

∵ x can not be zero

∴ There is no y-intercept

∵ y can be zero

∴ The x-intercept is (1, 0)

→ The end behavior of the parent function is consistent.

   As x approaches infinity, the y-values slowly get larger,

   approaching infinity

∵ y = log(x) is a parent function

∴ The end behavior is consistent

→ The graph is attached down

6 0
3 years ago
Select the correct answer from the drop-down menu. The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 ce
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4 0
3 years ago
The width of a rectangle is (x-5) and the length is (x+2). What is the length and width of the rectangle if the area is 18 squar
Murrr4er [49]

Answer:

Length: 9

Width: 2

Step-by-step explanation:

Area = length × width

18 = (x - 5)(x + 2)

18 = x² - 5x + 2x - 10

x² - 3x - 28 = 0

x² - 7x + 4x - 28 = 0

x(x - 7) + 4(x - 7) = 0

(x - 7)(x + 4) = 0

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3 years ago
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